λ
Harmonic Matrix

8,384,989

8384989
Deficient Odd Prime

8,384,989 has digital root 4. The neighboring primes are 8384969 and 8384993; its proper-divisor sum differs from the starting integer by -8,384,988.

Prime Factor Structure

Factorization String 8384989
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,384,990
Proper Divisor Sum 1
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8384969 ← → #8384993

Radix Representation

Decimal 8384989
Binary 11111111111000111011101 (23 bits)
Octal 0o37770735
Hexadecimal 0x7FF1DD

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,384,989 25,154,968 12,577,484 6,288,742 3,144,371 9,433,114 4,716,557 14,149,672 7,074,836 3,537,418 1,768,709 5,306,128 2,653,064 1,326,532 663,266 331,633 994,900 497,450 248,725 746,176 373,088 186,544 93,272 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869

More profiles

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